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Simplifying 4(x + -2) + -3x = 5(2 + -1x) Reorder the terms: 4(-2 + x) + -3x = 5(2 + -1x) (-2 * 4 + x * 4) + -3x = 5(2 + -1x) (-8 + 4x) + -3x = 5(2 + -1x) Combine like terms: 4x + -3x = 1x -8 + 1x = 5(2 + -1x) -8 + 1x = (2 * 5 + -1x * 5) -8 + 1x = (10 + -5x) Solving -8 + 1x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + 1x + 5x = 10 + -5x + 5x Combine like terms: 1x + 5x = 6x -8 + 6x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 6x = 10 + 0 -8 + 6x = 10 Add '8' to each side of the equation. -8 + 8 + 6x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 10 + 8 6x = 10 + 8 Combine like terms: 10 + 8 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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